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• W2038157682 abstract "Two-loop Bethe logarithms are calculated for excited P and D states in hydrogenlike systems, and estimates are presented for all states with higher angular momenta. These results complete our knowledge of the P and D energy levels in hydrogen at the order of alpha^8 m_e c^2, where m_e is the electron mass and c is the speed of light, and scale as Z^6, where Z is the nuclear charge number. Our analytic and numerical calculations are consistent with the complete absence of logarithmic terms of order (alpha/pi)^2 (Z alpha)^6 ln[(Z alpha)^(-2)] m_e c^2 for D states and all states with higher angular momenta. For higher excited P and D states, a number of poles from lower-lying levels have to subtracted in the numerical evaluation. We find that, surprisingly, the corrections of the squared decay-rate type are the numerically dominant contributions in the order (alpha/pi)^2 (Z alpha)^6 m_e c^2 for states with large angular momenta, and provide an estimate of the entire B_60-coefficient for Rydberg states with high angular momentum quantum numbers. Our results reach the predictive limits of the quantum electrodynamic theory of the Lamb shift." @default.
• W2038157682 created "2016-06-24" @default.
• W2038157682 creator A5012465453 @default.
• W2038157682 date "2006-12-29" @default.
• W2038157682 modified "2023-10-16" @default.
• W2038157682 title "Two-loop Bethe logarithms for non-<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi>S</mml:mi></mml:math>levels" @default.
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• W2038157682 doi "https://doi.org/10.1103/physreva.74.062517" @default.
• W2038157682 hasPublicationYear "2006" @default.
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